On the Dimensions of Spaces of Harmonic Functions with Polynomial Growth

被引：0
|
作者：
Xiantao Huang
机构：
[1] Sun Yat-sen University,School of Mathematics
来源：
Acta Mathematica Scientia | 2019年 / 39卷
关键词：
Ricci curvature; harmonic function with polynomial growth; eigenvalue; 35A01; 53C23; 58J05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we obtain an estimate for the lower bound for the dimensions of harmonic functions with polynomial growth and a Liouville type theorem on manifolds with nonnegative Ricci curvature whose tangent cone at infinity is a unique metric cone with a conic measure.
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页码：1219 / 1234
页数：15
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